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Generalized dimension estimates for images of porous sets under monotone Sobolev mappings
Aleksandra ZapadinskayaAleksandra ZapadinskayaPekka Koskelasubject
Sobolev spaceMathematics::Functional AnalysisMonotone polygonDimension (vector space)Applied MathematicsGeneral MathematicsMathematical analysisMathematics::Analysis of PDEsSobolev inequalityMathematicsdescription
We give an essentially sharp estimate in terms of generalized Hausdorff measures for images of porous sets under monotone Sobolev mappings, satisfying suitable Orlicz-Sobolev conditions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-12-04 | Proceedings of the American Mathematical Society |